Exam 38: Diffraction Patterns and Polarization

The centers of two slits of width a are a distance d apart.If the fourth minimum of the interference pattern occurs at the location of the first minimum of the diffraction pattern for light of wavelength λ,the ratio a/d is equal to

How wide must a narrow slit be if the first diffraction minimum occurs at ±12° with laser light of 633 nm?

Light strikes a flat water surface (n = 1.333)at the Brewster angle.Calculate the angle between the reflected and the refracted ray.

Potassium Iodide (chemical formula: KI)has a face-centered cubic structure (just like sodium chloride).If the distance between crystal planes is d = 0.353 nm and X-rays of wavelength λ = 0.0934 nm are used,what is the smallest angle θ at which a diffraction maximum may be obtained?

A narrow slit is illuminated with sodium yellow light of wavelength 589 nm.If the central maximum extends to ±30.0°,how wide is the slit?

Each pattern shown below would appear on a screen when monochromatic light first passes through a narrow slit of width a and then strikes a screen.The darkest areas on the page represent the brightest areas on the screen.In which case is the slit illuminated with light of the shortest wavelength?

A beam of X-rays of different frequencies is reflected at 10 degrees off a crystal of interatomic spacing 0.2 nm.Which X-ray wavelength is preferentially reflected?

Scattered light in the atmosphere is often partially polarized.The best way to determine whether or not light from a particular direction in the sky shows polarization is to

Plane waves of ultrasound,f = 51.0 kHz,impinge on a flat plane with a 1.00 cm-wide slit.What is the total angular width (2θ)of diffracted sound waves when the speed of sound in air is 340 m/sec.

The hydrogen spectrum has a red line at 656 nm,and a blue line at 434 nm.What is the first order angular separation between the two spectral lines obtained with a diffraction grating with 5000 rulings/cm?

A helium-neon laser (λ = 632.8 nm)is used to calibrate a diffraction grating.If the first-order maximum occurs at 20.5°,what is the line spacing,d?

The pupil of a cat's eye narrows to a slit width of 0.5 mm in daylight.What is the angular resolution of the cat's eye in daylight (λ = 500 nm)?

Sunlight reflected from a smooth ice surface is completely polarized.Determine the angle of incidence.(n_ice = 1.31. )

A slit of variable width illuminated by light of wavelength λ is widened until the first order diffraction minimum moves out to a distance infinitely far away from the brightest location in the central maximum.In terms of the wavelength,the width of the slit is then

The large space telescope that has been placed into an Earth orbit has an aperture diameter of 2.40 meters.What angular resolution will this telescope achieve for visible light of wavelength λ = 4.80 × 10−⁷ m?

A single slit of width a is illuminated by light of wavelength λ.If a = 4.3λ,the maximum number of dark fringes on a semi-circular screen surrounding the slit is

Unpolarized light is passed through three successive Polaroid filters,each with its transmission axis at 45.0° to the preceding filter.What percentage of light gets through?

In an X-ray diffraction experiment using X-rays of λ = 0.500 × 10−¹⁰ m,a first-order maximum occurred at 5.00°.Find the crystal plane spacing.

At what distance could one theoretically distinguish two automobile headlights separated by 1.5 meters? Assume a pupil diameter of 0.50 cm and yellow headlights seen at the wavelength 5.0 × 10−⁷ m.Assume eye fluid has an average n = 1.33.

A ruby laser beam (λ = 694.3 nm)is sent outwards from a 2.7-m diameter telescope to the moon,384,000 km away.What is the radius of the big red spot on the moon?